EURO 2024 Copenhagen
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2060. Comparison of risk-minimization portfolios with cardinality constraints and period lengths

Invited abstract in session MB-51: Market risk in a volatile world, stream Risk management in finance.

Monday, 10:30-12:00
Room: M5 (building: 101)

Authors (first author is the speaker)

1. Aleš Kresta
Department of Finance, Faculty of Economics, VSB-Technical University of Ostrava
2. Qian Gao
VSB - Technical University of Ostrava

Abstract

In this study, we empirically compare the performance of portfolios optimized to minimise selected risk measures under a cardinality constraint. The chosen risk measures include standard deviation, semi-deviation, minimax, mean absolute deviation, maximum drawdown, conditional value at risk, and entropic value at risk. Additionally, we introduce different values of the cardinality constraint and vary the period length used for parameter estimation in the portfolio optimisation problem. This approach allows for a comprehensive comparison of risk-minimization portfolios, taking into account the selected risk measure, cardinality constraint, and period length simultaneously. Furthermore, we evaluate portfolio performance under various market conditions, specifically in the United States, Germany, and Chinese stock markets. Evaluation metrics include the Sharpe ratio, the Sortino ratio, and the Calmar ratio. The results reveal that no single risk measure dominates the others, and significant differences exist among them. Although the durations of optimal estimation periods vary for different risk measures, certain patterns emerge from the findings.

Keywords

Status: accepted


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